32.1.145 LogisticRichard5

Contents

Function

\[y = Bt + \frac{Tp - Bt}{\left(1+(2^{\frac{1}{s}}-1)(\frac{EC50}{x})^{HS}\right)^s}\]

Brief Description

Richard's five-parameter dose response curve.

Sample Curve

LogisticRichard5.png

Parameters

Number: 5

Names: Bt, Tp, EC50, HS, s

Meanings: Bt=bottom asymptote, Tp=top asymptote, EC50=EC50 for agonist, HS=Hill slope, s=symmetry parameter

Lower Bounds: none

Upper Bounds: none

Derived Parameters

logEC50=log(EC50)

Script Access

nlf_LogisticRichard5(x,Bt,Tp,EC50,HS,s)

Function File

LogisticRichard5.fdf

Category

Dose Response